DekotaK121265 DekotaK121265
  • 03-11-2022
  • Mathematics
contestada

hey, i need help with this question. can anyone help me?

hey i need help with this question can anyone help me class=

Respuesta :

DivineJ322792 DivineJ322792
  • 03-11-2022

SOLUTION

The given sequence is:

[tex]7,21,63,189,\cdots[/tex]

The first term of the sequence is 7.

Notice that the sequence has a common ratio of:

[tex]r=\frac{21}{7}=\frac{63}{21}=\cdots=3[/tex]

The recursive formula of a geometric series is:

[tex]a_n=a_{n-1}(r)[/tex]

Substituting r=3 gives:

[tex]a_n=3a_{n-1}[/tex]

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